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Anomalies in PT-Symmetric Quantum Field Theory

2003/08/05 by Kimball A. Milton · 2 citations
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #hep-th #quant-ph

paper · pdf · doi:10.1023/b:cjop.0000014372.21537.c0

published as Czech.J.Phys. 54 (2004) 85-91 · 7 pages, uses czjphys.cls, to appear in proceedings of Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics

arxiv created 2003/08/05 · openalex publication_date 2004/01/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

It is shown that a version of PT-symmetric electrodynamics based on an axial-vector current coupling massless fermions to the photon possesses anomalies and so is rendered nonrenormalizable. An alternative theory is proposed based on the conventional vector current constructed from massive Dirac fields, but in which the PT transformation properties of electromagnetic fields are reversed. Such a theory seems to possess many attractive features.

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